What is the Greatest Common Factor of 71375 and 71379?

Greatest common factor (GCF) of 71375 and 71379 is 1.

GCF(71375,71379) = 1

We will now calculate the prime factors of 71375 and 71379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71375 and 71379.

How to find the GCF of 71375 and 71379?

We will first find the prime factorization of 71375 and 71379. After we will calculate the factors of 71375 and 71379 and find the biggest common factor number .

Step-1: Prime Factorization of 71375

Prime factors of 71375 are 5, 571. Prime factorization of 71375 in exponential form is:

71375 = 5³ × 571¹

Step-2: Prime Factorization of 71379

Prime factors of 71379 are 3, 7, 11, 103. Prime factorization of 71379 in exponential form is:

71379 = 3² × 7¹ × 11¹ × 103¹

Step-3: Factors of 71375

List of positive integer factors of 71375 that divides 71375 without a remainder.

1, 5, 25, 125, 571, 2855, 14275

Step-4: Factors of 71379

List of positive integer factors of 71379 that divides 71375 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 103, 231, 309, 693, 721, 927, 1133, 2163, 3399, 6489, 7931, 10197, 23793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71375 and 71379. The biggest common factor number is the GCF number.
So the greatest common factor 71375 and 71379 is 1.

Also check out the Least Common Multiple of 71375 and 71379